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> ## traditional MM Likert outcome using only white respondents
> ##
> ## August 5, 2019
> ##
> ## Kevin Quinn
> ## University of Michigan
> ##
> 
> library(MCMCpack)
Loading required package: coda
Loading required package: MASS
##
## Markov Chain Monte Carlo Package (MCMCpack)
## Copyright (C) 2003-2019 Andrew D. Martin, Kevin M. Quinn, and Jong Hee Park
##
## Support provided by the U.S. National Science Foundation
## (Grants SES-0350646 and SES-0350613)
##
> set.seed(5627)
> 
> mydata <- read.csv("../ScaleRaceSpring2017clean.csv")
> 
> ## subset data
> mydata <- mydata[mydata$R.race == "White",]
> mydata <- mydata[!is.na(mydata$R.race),]
> 
> 
> ## keep responses and photo IDs but nothing else
> inds <- 1:24
> keep.vars <- c(paste("X", inds, "_Q339", sep=""),
+                paste("X", inds, "a.id", sep=""))
> 
> mydata.sub <- mydata[, keep.vars]
> 
> 
> ## reshape into long format
> mydata.sub.long <- reshape(mydata.sub, direction="long",
+                            varying=list(c(1:24), c(25:48)),
+                            v.names=c("Y", "photoID"),
+                            ids=rownames(mydata.sub))
> 
> ## keep only obs with non-missing values for MM
> mydata.sub.long <- na.omit(mydata.sub.long)
> 
> mydata.sub.long <- mydata.sub.long[sample(1:nrow(mydata.sub.long),
+                                           size=1000, replace=FALSE),]
> 
> cat("\n\nN =", nrow(mydata.sub.long), "\n\n") 


N = 1000 

> 
> 
> b3.M1.out <- MCMCoprobit(Y ~ as.factor(photoID), data=mydata.sub.long,
+                          burnin=50000, mcmc=1000000, thin=50, tune=0.06,
+                          verbose=10000, seed=81571
+                          )


MCMCoprobit iteration 1 of 1050000 
beta = 
   5.58018
   0.51660
   2.83097
  -1.19062
   0.98248
   1.06709
   0.48082
  -2.40350
   0.87916
   1.33123
  -0.54909
   2.12049
  -1.38620
  -0.55950
   0.65987
   2.44231
   0.83984
  -1.32585
  -0.03134
  -0.11810
   0.08871
   1.18543
   2.08048
   0.16430
  -4.53743
  -4.15351
  -4.31569
  -4.43250
  -2.47715
  -3.62371
  -5.00839
  -5.26361
  -5.21511
  -4.67892
  -3.86541
  -5.60760
  -6.35113
  -5.83913
  -5.31869
  -4.74696
  -3.45061
  -5.19717
  -4.51075
  -4.16516
  -5.18284
  -4.19055
  -2.66227
  -3.88943
Metropolis acceptance rate for gamma = 1.00000



MCMCoprobit iteration 10001 of 1050000 
beta = 
   5.30463
   1.36877
   3.20044
  -0.69850
   1.40708
   1.22760
   0.89508
  -1.56532
   1.18883
   1.85281
  -0.33173
   2.60886
  -1.17582
  -0.53100
   0.79607
   2.21160
   1.18823
  -1.15710
  -0.07734
   0.19784
   0.30998
   1.62540
   2.48093
   0.21813
  -4.37112
  -3.46865
  -4.27605
  -4.45915
  -2.04566
  -3.32947
  -5.22324
  -4.81469
  -5.42381
  -4.16848
  -3.53839
  -4.99521
  -5.68720
  -5.96210
  -4.52507
  -4.11174
  -4.01201
  -4.94096
  -4.21216
  -4.16886
  -4.90543
  -2.98012
  -2.29182
  -3.97937
Metropolis acceptance rate for gamma = 0.22428



MCMCoprobit iteration 20001 of 1050000 
beta = 
   5.30100
   0.78697
   2.37585
  -1.10327
   0.89206
   1.02104
   0.18438
  -1.73824
   1.15200
   1.50229
  -0.65754
   1.68438
  -1.53142
  -0.89002
   0.05102
   1.59096
   0.60077
  -1.46003
  -0.33853
  -0.59439
   0.56118
   0.94436
   1.39620
  -0.13247
  -4.28048
  -3.86709
  -4.23201
  -4.41798
  -2.27793
  -3.40876
  -4.71985
  -4.47054
  -4.90197
  -4.63474
  -3.69052
  -5.45511
  -6.11407
  -5.81198
  -4.41194
  -4.64082
  -3.78209
  -4.94872
  -4.63984
  -3.91438
  -5.21938
  -3.73952
  -2.64452
  -3.83160
Metropolis acceptance rate for gamma = 0.22074



MCMCoprobit iteration 30001 of 1050000 
beta = 
   5.02878
   0.71587
   2.59199
  -0.81332
   0.99230
   1.02497
   0.30150
  -2.15037
   0.51890
   1.34923
  -0.37949
   1.78912
  -1.32124
  -0.88637
   0.35426
   1.33809
   0.73268
  -1.08731
  -0.12228
   0.40331
  -0.00829
   1.59465
   1.94903
   0.39612
  -4.28279
  -2.90124
  -3.74670
  -4.06918
  -2.12896
  -3.21196
  -4.96999
  -3.98074
  -4.79913
  -4.27905
  -3.33242
  -4.95149
  -5.49475
  -5.32060
  -4.42611
  -3.94853
  -3.05742
  -4.81993
  -4.16795
  -3.55008
  -4.57357
  -3.48928
  -2.95216
  -3.52675
Metropolis acceptance rate for gamma = 0.22039



MCMCoprobit iteration 40001 of 1050000 
beta = 
   5.43915
   0.27893
   2.74936
  -1.32046
   0.92786
   0.95043
   0.15199
  -1.76022
   0.48552
   1.43851
  -0.58393
   1.85698
  -1.00573
  -1.00567
   0.22210
   1.65798
   0.92314
  -1.46757
  -0.12219
  -0.07947
   0.45971
   1.11727
   1.53981
  -0.16352
  -4.21600
  -3.56392
  -4.18222
  -4.28993
  -1.83679
  -3.41337
  -5.00844
  -4.95739
  -5.28104
  -4.65880
  -4.11404
  -5.21746
  -6.24988
  -5.68378
  -4.70459
  -4.94969
  -3.82363
  -5.26451
  -4.20612
  -3.67756
  -5.17828
  -4.11542
  -2.79960
  -4.17030
Metropolis acceptance rate for gamma = 0.22084



MCMCoprobit iteration 50001 of 1050000 
beta = 
   5.08298
   0.18415
   2.63694
  -0.91512
   0.69799
   0.78236
   0.55999
  -1.54058
   0.55456
   1.73378
  -0.14170
   1.76480
  -1.54615
  -0.34547
   0.34542
   2.21280
   1.33235
  -0.95880
  -0.05669
  -0.11355
   0.52928
   1.03808
   1.69968
   0.58946
  -3.95978
  -3.58793
  -3.77444
  -3.81943
  -1.72598
  -2.92877
  -5.14272
  -4.31646
  -4.46246
  -4.45244
  -3.54520
  -4.83996
  -5.64702
  -5.29131
  -4.42504
  -4.16750
  -3.41184
  -4.77452
  -4.38841
  -3.94185
  -4.98274
  -3.50717
  -2.50544
  -3.54494
Metropolis acceptance rate for gamma = 0.21900



MCMCoprobit iteration 60001 of 1050000 
beta = 
   4.94437
   0.93322
   2.90467
  -0.65675
   1.05070
   0.83290
   0.46693
  -1.47915
   0.96021
   1.97380
   0.01895
   2.41629
  -1.21216
  -0.47632
   0.74864
   1.92049
   1.63424
  -1.00250
   0.08985
   0.06175
   0.82465
   1.60057
   2.32181
   0.29009
  -3.76928
  -3.32739
  -3.54264
  -3.91308
  -2.17262
  -2.85353
  -4.65352
  -4.12616
  -4.69871
  -4.00344
  -3.43559
  -4.63254
  -5.76121
  -5.28388
  -4.52941
  -3.87468
  -3.36114
  -4.55179
  -3.65043
  -3.65007
  -5.19410
  -3.46611
  -2.62192
  -3.23825
Metropolis acceptance rate for gamma = 0.21808



MCMCoprobit iteration 70001 of 1050000 
beta = 
   4.91086
   0.95485
   2.96158
  -0.80021
   1.03235
   1.46078
   0.47031
  -1.58756
   0.87134
   1.67706
  -0.22766
   2.03177
  -0.99315
  -0.63645
   0.75281
   1.71058
   1.30681
  -0.65577
   0.20149
   0.21830
   0.58673
   1.39327
   2.06449
   0.57974
  -4.19428
  -3.20060
  -4.18273
  -3.76767
  -1.51700
  -2.91016
  -4.44427
  -4.08027
  -4.31579
  -4.08065
  -3.32869
  -4.86355
  -5.87082
  -5.14386
  -4.09842
  -4.49761
  -3.02890
  -4.82107
  -3.91660
  -3.30647
  -4.88369
  -3.73378
  -2.28332
  -3.37929
Metropolis acceptance rate for gamma = 0.21731



MCMCoprobit iteration 80001 of 1050000 
beta = 
   5.03432
   1.16360
   3.07058
  -0.81238
   1.55176
   1.01529
   0.74945
  -2.12064
   1.16971
   2.03626
  -0.09039
   2.12171
  -0.79793
  -0.64103
   0.68597
   1.70678
   0.83070
  -1.25607
   0.35071
   0.35006
   0.66987
   1.89636
   2.43881
   0.80743
  -3.80132
  -3.51830
  -3.70150
  -3.98596
  -1.99595
  -3.08062
  -4.73833
  -4.61235
  -4.93104
  -4.44041
  -3.14978
  -4.76595
  -6.09745
  -5.60182
  -4.54599
  -4.23473
  -3.70114
  -4.95537
  -3.74939
  -3.85229
  -4.63781
  -3.19829
  -2.65166
  -3.29267
Metropolis acceptance rate for gamma = 0.21788



MCMCoprobit iteration 90001 of 1050000 
beta = 
   5.06753
   0.43567
   2.77269
  -0.65121
   1.21619
   1.17663
   0.12628
  -1.64459
   1.05846
   1.55969
  -0.13651
   2.01924
  -1.15071
  -0.52805
   0.89223
   1.38752
   1.44981
  -1.13808
  -0.41312
   0.24419
   0.67311
   1.49563
   2.20045
   0.27186
  -4.03986
  -2.44183
  -3.34572
  -4.02215
  -1.99790
  -3.23678
  -4.76762
  -4.46951
  -4.46616
  -4.16186
  -3.39671
  -4.61247
  -5.90013
  -4.88191
  -4.76895
  -3.66060
  -3.04259
  -5.05320
  -3.92948
  -3.76874
  -5.14134
  -3.41589
  -2.80609
  -3.36013
Metropolis acceptance rate for gamma = 0.21759



MCMCoprobit iteration 100001 of 1050000 
beta = 
   5.29498
  -0.14858
   2.39371
  -1.03490
   1.23852
   0.63489
   0.25386
  -1.87635
   1.03912
   1.31966
  -0.72327
   2.06078
  -1.05578
  -0.59330
   0.20751
   1.34914
   1.34789
  -0.98390
   0.11810
  -0.48961
   0.41806
   0.89465
   2.13486
   0.36265
  -4.22402
  -3.72974
  -4.14567
  -4.18488
  -1.69806
  -3.06628
  -5.05002
  -4.54891
  -4.96118
  -4.60688
  -3.65232
  -5.11611
  -5.47566
  -5.60632
  -5.02014
  -4.53143
  -3.65659
  -5.02409
  -4.20816
  -4.07665
  -5.40266
  -3.44290
  -2.38362
  -3.53529
Metropolis acceptance rate for gamma = 0.21661



MCMCoprobit iteration 110001 of 1050000 
beta = 
   5.16297
   0.61921
   2.92645
  -0.95328
   0.92088
   0.97228
   0.98981
  -1.50946
   1.27757
   1.60481
  -0.31451
   1.83333
  -1.37411
  -0.18764
   0.78418
   1.57287
   0.60400
  -0.94076
   0.28313
   0.48201
   0.19359
   1.70792
   1.70959
   0.54413
  -3.85714
  -3.65085
  -3.81475
  -3.89828
  -2.01631
  -3.07303
  -4.77758
  -4.62539
  -4.78054
  -4.39011
  -3.43186
  -5.04293
  -5.32912
  -5.35273
  -4.57502
  -4.15795
  -4.08274
  -5.26749
  -4.06033
  -3.54763
  -4.64220
  -3.41081
  -2.49808
  -3.35891
Metropolis acceptance rate for gamma = 0.21676



MCMCoprobit iteration 120001 of 1050000 
beta = 
   5.05809
   0.54062
   3.07294
  -0.78406
   1.41221
   1.07669
   0.46011
  -1.79698
   1.15631
   1.80766
  -0.95416
   2.06888
  -1.18238
  -0.24659
   0.86816
   2.27784
   1.44391
  -0.94242
  -0.43619
  -0.03649
   0.40061
   1.51060
   1.81207
   0.49601
  -3.89785
  -3.48969
  -3.76027
  -4.08816
  -1.97978
  -3.23340
  -4.83420
  -4.58431
  -4.49452
  -4.71893
  -3.04955
  -4.76287
  -5.59000
  -5.47234
  -4.06968
  -4.09787
  -3.69546
  -5.01363
  -4.25818
  -3.78055
  -4.66955
  -3.11940
  -2.72229
  -3.42973
Metropolis acceptance rate for gamma = 0.21676



MCMCoprobit iteration 130001 of 1050000 
beta = 
   4.69879
   1.09613
   2.98385
  -0.79856
   1.18373
   0.93048
   0.56729
  -1.79702
   0.85620
   1.34233
  -0.77553
   2.19741
  -1.04618
  -0.26267
   0.88499
   1.61816
   1.05078
  -1.02221
  -0.37598
   0.50313
   0.54770
   1.69131
   2.12337
   0.50261
  -3.72394
  -3.27143
  -3.79766
  -3.50254
  -1.50068
  -3.16300
  -4.32102
  -3.90483
  -4.31015
  -4.30536
  -3.21757
  -4.17010
  -5.56192
  -5.33497
  -4.34047
  -3.70387
  -3.19567
  -4.17174
  -3.75950
  -3.43798
  -4.44953
  -3.15768
  -2.83386
  -3.07857
Metropolis acceptance rate for gamma = 0.21685



MCMCoprobit iteration 140001 of 1050000 
beta = 
   5.10539
   1.16726
   2.81950
  -1.03488
   0.57931
   0.85170
   0.50250
  -1.78622
   0.81292
   1.23199
  -0.52861
   1.97322
  -1.30688
  -0.91668
   0.44898
   1.73424
   0.64573
  -1.12607
  -0.71436
  -0.34198
   0.60284
   1.24484
   1.76885
   0.48820
  -3.93943
  -3.60853
  -3.86088
  -4.26186
  -2.12890
  -2.95198
  -5.01127
  -4.24890
  -4.53531
  -4.44223
  -3.40752
  -5.08717
  -5.38081
  -5.39146
  -4.27113
  -4.20017
  -3.68704
  -5.17246
  -4.03717
  -3.67053
  -4.99114
  -4.05378
  -2.83969
  -3.72791
Metropolis acceptance rate for gamma = 0.21658



MCMCoprobit iteration 150001 of 1050000 
beta = 
   4.96875
   0.24315
   2.89895
  -0.43012
   0.78092
   0.87969
   0.11317
  -1.97613
   0.90600
   1.62749
  -0.81318
   1.55124
  -0.91249
  -0.60710
   0.07980
   1.54648
   1.18530
  -1.48042
  -0.46591
   0.05809
   0.18430
   1.22299
   2.15234
   0.18073
  -3.82836
  -3.25374
  -4.12893
  -4.15151
  -1.25795
  -3.06641
  -4.96589
  -4.00835
  -4.82812
  -4.14247
  -3.40067
  -4.88614
  -5.87514
  -5.82795
  -4.47478
  -4.04626
  -3.65334
  -4.28022
  -3.86569
  -3.58071
  -5.03197
  -3.44631
  -2.91064
  -3.72564
Metropolis acceptance rate for gamma = 0.21661



MCMCoprobit iteration 160001 of 1050000 
beta = 
   4.86271
   0.35477
   3.13267
  -0.63895
   1.49455
   1.06973
   0.88929
  -1.23556
   0.82863
   1.55078
  -0.37204
   1.98094
  -1.36803
  -0.44115
   0.76652
   1.56953
   0.55785
  -0.50599
  -0.08088
   0.21377
   0.77793
   2.02969
   2.48517
   0.45091
  -3.96014
  -2.99735
  -3.66857
  -3.92645
  -1.58308
  -2.72028
  -4.29500
  -3.89482
  -4.75397
  -4.54130
  -3.54307
  -5.30730
  -5.73320
  -4.68320
  -4.36761
  -3.84914
  -3.35877
  -4.75918
  -3.95735
  -3.22321
  -4.51521
  -3.34040
  -2.28207
  -3.67182
Metropolis acceptance rate for gamma = 0.21682



MCMCoprobit iteration 170001 of 1050000 
beta = 
   5.03060
   0.70661
   3.23308
  -1.14101
   1.12457
   0.82555
   0.24562
  -2.18075
   1.16020
   1.66942
  -0.07010
   2.24754
  -0.76192
  -0.48767
   0.49829
   2.09581
   1.09181
  -0.76679
  -0.06655
   0.15913
   0.29766
   1.44149
   2.77308
   0.43555
  -4.32871
  -3.47466
  -3.77880
  -3.87964
  -2.03827
  -2.94749
  -4.82745
  -4.23526
  -4.69656
  -4.16851
  -3.80077
  -5.16448
  -5.50400
  -5.52268
  -4.26083
  -4.47037
  -3.61215
  -4.94163
  -4.58033
  -3.73185
  -5.03173
  -3.46423
  -2.60961
  -4.11479
Metropolis acceptance rate for gamma = 0.21726



MCMCoprobit iteration 180001 of 1050000 
beta = 
   4.97341
   0.97489
   3.06825
  -0.87420
   0.97544
   1.10109
   0.87515
  -1.62333
   0.80879
   1.41759
  -0.58020
   2.34702
  -1.11767
  -0.60494
   0.49979
   1.83112
   1.75347
  -1.10315
   0.09540
  -0.29440
   0.55888
   1.25547
   1.96124
   0.23361
  -4.49568
  -3.28284
  -4.41095
  -4.16953
  -2.29444
  -2.91751
  -4.56429
  -4.50771
  -4.63418
  -4.40805
  -3.67317
  -5.30091
  -5.86118
  -5.20943
  -4.25708
  -4.39016
  -3.41715
  -5.14832
  -4.02676
  -3.69824
  -5.13675
  -3.21013
  -2.43105
  -3.55758
Metropolis acceptance rate for gamma = 0.21752



MCMCoprobit iteration 190001 of 1050000 
beta = 
   5.05843
   1.01286
   2.44068
  -0.41023
   0.82675
   0.86930
   0.31276
  -1.93157
   0.63589
   0.94474
  -0.35484
   1.44364
  -1.50525
  -0.77006
   0.12274
   1.93164
   1.11991
  -1.48141
  -0.02113
   0.09369
   0.27672
   1.15979
   2.38685
  -0.23614
  -3.89318
  -3.34287
  -3.98260
  -4.28687
  -2.23454
  -3.23826
  -4.99160
  -4.55152
  -4.98291
  -4.07033
  -3.44435
  -5.02515
  -5.76696
  -5.61501
  -4.70870
  -4.14221
  -3.90655
  -5.04281
  -4.10727
  -3.94737
  -5.08816
  -3.20598
  -2.81076
  -3.77132
Metropolis acceptance rate for gamma = 0.21754



MCMCoprobit iteration 200001 of 1050000 
beta = 
   5.09168
   0.55485
   3.28814
  -1.00574
   1.37595
   1.38733
   0.27705
  -1.49566
   0.88356
   1.93586
  -0.04630
   2.24780
  -0.93156
  -0.70961
   0.46925
   1.94542
   1.16581
  -1.11989
   0.00416
   0.10567
   0.39661
   2.18199
   2.39525
   0.08194
  -4.27051
  -3.25344
  -3.99257
  -4.02244
  -1.14457
  -3.17755
  -4.66101
  -4.09998
  -4.86368
  -3.97968
  -3.42520
  -5.03070
  -5.77714
  -5.26543
  -4.46215
  -4.24870
  -3.43928
  -4.48930
  -3.87396
  -3.85315
  -4.70799
  -3.82880
  -2.37562
  -3.60902
Metropolis acceptance rate for gamma = 0.21765



MCMCoprobit iteration 210001 of 1050000 
beta = 
   5.33729
   1.06839
   2.78531
  -1.10567
   1.34250
   0.76746
   0.41629
  -1.62192
   1.19930
   1.66285
  -0.62418
   2.14694
  -1.14962
  -0.39847
   0.64529
   1.95975
   1.61118
  -1.24198
  -0.43503
  -0.00612
   0.18620
   1.40633
   1.98940
   0.22774
  -4.16100
  -3.80584
  -4.02467
  -4.20363
  -2.22201
  -3.44212
  -5.31409
  -4.63412
  -4.54501
  -4.03928
  -3.63494
  -5.18179
  -5.66469
  -5.80545
  -4.69782
  -4.48971
  -3.23706
  -5.26390
  -4.15520
  -3.49860
  -5.36433
  -3.59645
  -2.80836
  -3.55651
Metropolis acceptance rate for gamma = 0.21776



MCMCoprobit iteration 220001 of 1050000 
beta = 
   5.41957
   0.25861
   3.35234
  -1.07056
   0.65233
   0.82152
   0.45147
  -1.89259
   1.01802
   1.52561
  -0.37736
   1.84853
  -1.23527
  -0.83222
   0.52742
   1.87148
   0.77822
  -0.81129
  -0.03855
  -0.05817
   0.31827
   1.54104
   2.66313
   0.42402
  -4.01510
  -3.57205
  -4.35115
  -4.35415
  -2.14833
  -3.21200
  -4.89670
  -5.07175
  -4.98197
  -4.67759
  -3.55798
  -5.24259
  -6.11836
  -5.92400
  -4.52515
  -4.39357
  -3.42187
  -4.87361
  -4.32632
  -3.97172
  -5.30042
  -3.87476
  -2.98499
  -3.32717
Metropolis acceptance rate for gamma = 0.21784



MCMCoprobit iteration 230001 of 1050000 
beta = 
   5.16829
   0.63543
   2.91815
  -1.14161
   0.83292
   1.19333
   0.64076
  -1.86328
   1.05487
   1.72013
  -0.38732
   1.94679
  -0.93116
  -1.09813
   0.58517
   1.49813
   1.07893
  -0.85771
  -0.49271
  -0.03182
   0.66845
   1.61150
   1.72508
   0.10469
  -4.24724
  -3.57949
  -4.12308
  -4.35626
  -1.80061
  -3.09554
  -5.39263
  -4.67479
  -4.95539
  -4.54787
  -3.31740
  -4.86644
  -6.15368
  -5.32649
  -4.33618
  -3.85807
  -3.51854
  -4.86272
  -3.93340
  -3.48182
  -4.78980
  -3.42462
  -2.51015
  -3.90716
Metropolis acceptance rate for gamma = 0.21766



MCMCoprobit iteration 240001 of 1050000 
beta = 
   4.94050
   0.28718
   2.90319
  -0.34398
   1.41423
   0.92837
  -0.08663
  -1.64457
   0.88935
   1.61159
  -0.31802
   1.46316
  -1.27363
  -0.47655
   0.31617
   2.05428
   1.03177
  -0.81045
  -0.11269
   0.07672
   0.50560
   0.89876
   2.36797
   0.29263
  -3.61334
  -3.58743
  -3.82259
  -4.00972
  -1.93280
  -2.98382
  -4.84187
  -3.86995
  -4.77598
  -4.21365
  -3.31279
  -5.28202
  -5.74155
  -4.94047
  -4.45003
  -4.04832
  -3.58228
  -4.73804
  -3.82013
  -3.79974
  -4.43134
  -3.26387
  -2.85033
  -3.03507
Metropolis acceptance rate for gamma = 0.21721



MCMCoprobit iteration 250001 of 1050000 
beta = 
   4.43438
   0.83730
   3.26227
  -0.21671
   1.42301
   1.51771
   0.69090
  -1.07718
   1.46168
   1.76383
   0.59248
   2.43937
  -0.93957
  -0.12845
   0.68421
   2.05159
   1.47580
  -0.26162
   0.51948
   0.32374
   0.91618
   2.14384
   2.17474
   0.75437
  -3.57591
  -2.79558
  -2.68028
  -3.59252
  -0.90623
  -2.68895
  -4.08351
  -3.30110
  -4.06670
  -3.64415
  -3.20071
  -4.63175
  -4.97196
  -4.67323
  -3.97815
  -3.44051
  -2.83896
  -4.39894
  -2.98881
  -3.11275
  -4.53507
  -2.99104
  -2.04392
  -2.54311
Metropolis acceptance rate for gamma = 0.21706



MCMCoprobit iteration 260001 of 1050000 
beta = 
   4.73558
   0.81839
   2.26733
  -0.75198
   1.24737
   0.67749
   0.29911
  -1.58302
   1.31657
   1.48383
  -0.22270
   2.03391
  -0.72092
  -0.37960
   0.72587
   1.64239
   1.18682
  -1.09651
   0.09910
   0.62024
   0.63857
   1.14902
   2.55461
   0.10365
  -3.94245
  -3.03307
  -3.10387
  -3.71603
  -1.44305
  -2.49154
  -4.47004
  -4.25000
  -4.58797
  -4.20993
  -3.45164
  -4.69351
  -5.11129
  -5.11898
  -4.52993
  -3.53503
  -2.78882
  -5.21216
  -3.81185
  -3.39933
  -4.19960
  -2.79759
  -2.20523
  -3.52821
Metropolis acceptance rate for gamma = 0.21731



MCMCoprobit iteration 270001 of 1050000 
beta = 
   5.27361
   0.69867
   2.69470
  -1.30830
   0.99427
   0.33290
   0.44280
  -1.71774
   0.85100
   1.58718
  -0.50644
   2.15108
  -1.37317
  -0.17816
  -0.08573
   2.05301
   1.04837
  -1.30956
  -0.39473
   0.18830
   0.44130
   1.53811
   1.98748
   0.23997
  -4.31648
  -3.54120
  -3.71815
  -3.71984
  -2.00108
  -3.46625
  -5.23087
  -4.67637
  -4.91534
  -4.64317
  -3.59860
  -4.92095
  -6.54988
  -5.22827
  -4.64703
  -4.73123
  -3.73866
  -5.24162
  -4.17076
  -3.71478
  -4.63047
  -3.59321
  -2.97779
  -4.04889
Metropolis acceptance rate for gamma = 0.21744



MCMCoprobit iteration 280001 of 1050000 
beta = 
   5.23158
   1.46175
   2.75774
  -1.08586
   1.36542
   0.76934
   0.26715
  -1.61296
   1.02267
   2.01344
  -0.23923
   2.23409
  -1.16382
  -0.92200
   0.67701
   1.93041
   1.41824
  -0.82530
   0.01533
   0.70034
   0.23413
   1.67298
   2.14201
   0.80257
  -3.97875
  -3.65874
  -4.02095
  -4.07132
  -1.66809
  -3.05569
  -5.19272
  -4.66221
  -4.90325
  -4.63109
  -3.78212
  -4.82036
  -5.60615
  -5.79617
  -4.94046
  -4.35021
  -3.60297
  -4.99362
  -4.11625
  -3.84388
  -5.05495
  -3.39151
  -2.57053
  -3.34661
Metropolis acceptance rate for gamma = 0.21752



MCMCoprobit iteration 290001 of 1050000 
beta = 
   5.08728
   0.74793
   2.71482
  -1.14577
   1.43538
   1.14293
   0.20256
  -2.04755
   1.26222
   1.85734
  -0.68331
   1.44993
  -1.28371
  -0.58953
   0.31166
   2.08286
   1.52919
  -1.52202
   0.06625
  -0.45361
   0.47248
   1.57422
   1.97355
   0.73908
  -4.33735
  -3.55003
  -3.78106
  -4.05751
  -1.77705
  -3.27527
  -5.04247
  -4.20022
  -4.90785
  -4.12704
  -3.44775
  -4.80123
  -5.94271
  -5.16154
  -4.67538
  -4.03234
  -3.18766
  -4.40780
  -4.07785
  -4.00201
  -4.86982
  -3.07410
  -3.05222
  -4.00168
Metropolis acceptance rate for gamma = 0.21752



MCMCoprobit iteration 300001 of 1050000 
beta = 
   4.92021
   0.68786
   2.76427
  -0.38068
   1.17441
   0.92897
   0.78593
  -1.78843
   0.97475
   1.48823
  -0.93581
   1.82742
  -0.94122
  -0.39422
   0.83980
   2.21651
   1.73646
  -0.87800
  -0.56060
  -0.11198
   0.50165
   1.35287
   2.18013
   0.41345
  -3.96540
  -3.23516
  -3.36907
  -3.59528
  -1.61467
  -2.75609
  -4.61746
  -4.01831
  -5.06375
  -3.96976
  -3.30330
  -4.26033
  -5.25324
  -5.29511
  -4.47915
  -3.68084
  -3.39930
  -4.83394
  -3.76391
  -3.37109
  -4.88152
  -3.25585
  -1.91406
  -3.70430
Metropolis acceptance rate for gamma = 0.21771



MCMCoprobit iteration 310001 of 1050000 
beta = 
   4.92947
   1.35475
   3.09750
  -0.79598
   1.50495
   1.11314
   0.64589
  -1.27495
   1.35216
   1.78069
  -0.41893
   1.45615
  -1.26475
  -0.68009
   0.35387
   2.01300
   1.27004
  -1.34023
  -0.01607
  -0.10235
   0.47401
   1.44986
   2.10874
   0.40802
  -3.85948
  -3.46827
  -3.58492
  -3.88147
  -1.65083
  -2.86260
  -4.42185
  -4.50715
  -4.72881
  -4.11772
  -3.45083
  -4.78182
  -5.63098
  -5.02362
  -4.91577
  -4.36980
  -3.09183
  -5.06086
  -3.78537
  -3.69796
  -4.81964
  -3.49270
  -2.77689
  -3.41541
Metropolis acceptance rate for gamma = 0.21791



MCMCoprobit iteration 320001 of 1050000 
beta = 
   5.14089
   0.15641
   2.66559
  -1.32779
   1.10392
   0.53996
   0.59814
  -1.83674
   0.95188
   1.40649
  -0.51659
   1.93810
  -1.53719
  -0.75296
   0.10138
   1.82685
   0.94345
  -1.03819
  -0.21723
  -0.18542
   0.47484
   1.48251
   2.27823
   0.12516
  -3.93122
  -3.60580
  -3.97955
  -4.07755
  -2.08167
  -3.30476
  -4.90453
  -3.93275
  -4.87512
  -3.93360
  -3.69595
  -4.61541
  -6.29144
  -5.58520
  -4.48795
  -4.41441
  -3.67318
  -5.20649
  -3.87808
  -3.89132
  -5.08699
  -3.47732
  -3.12104
  -3.40939
Metropolis acceptance rate for gamma = 0.21789



MCMCoprobit iteration 330001 of 1050000 
beta = 
   5.07752
   0.85563
   2.61254
  -1.50043
   0.70756
   0.62012
   0.63999
  -1.92305
   0.50721
   1.30092
  -0.58824
   1.72747
  -1.13885
  -1.07345
   0.53214
   1.30585
   0.68480
  -1.35840
  -0.54164
  -0.72384
   0.39177
   1.49095
   1.96830
  -0.36671
  -4.37808
  -3.56824
  -4.09514
  -3.92959
  -2.28004
  -3.28621
  -5.27232
  -4.76772
  -5.01637
  -4.29585
  -3.82336
  -4.60809
  -5.84609
  -5.42080
  -4.77540
  -4.69881
  -3.84402
  -4.64468
  -4.34819
  -4.03204
  -5.23066
  -3.81035
  -2.73748
  -3.75043
Metropolis acceptance rate for gamma = 0.21799



MCMCoprobit iteration 340001 of 1050000 
beta = 
   5.28605
  -0.22416
   2.66019
  -1.19211
   0.61572
   0.35613
   0.16116
  -2.05701
   0.84676
   1.32569
  -0.54159
   1.12145
  -1.57933
  -0.82362
  -0.09223
   1.45868
   1.11181
  -1.45011
  -0.39893
  -0.00869
  -0.55007
   0.24163
   1.73490
   0.06563
  -4.42747
  -3.87975
  -4.05701
  -4.13439
  -2.18730
  -2.93037
  -5.04552
  -4.49769
  -4.86019
  -4.77255
  -3.93556
  -4.80558
  -6.12230
  -5.56501
  -4.86513
  -4.73993
  -3.86180
  -5.35029
  -4.55698
  -3.68510
  -5.26446
  -4.07824
  -3.38808
  -3.40866
Metropolis acceptance rate for gamma = 0.21799



MCMCoprobit iteration 350001 of 1050000 
beta = 
   5.12188
   0.20285
   2.69022
  -0.72467
   0.91822
   0.55752
   0.25732
  -1.75446
   1.08456
   1.57498
  -0.60786
   1.69270
  -1.18920
  -0.70395
   0.42035
   1.69648
   1.36944
  -1.35971
  -0.39624
  -0.66702
   0.42518
   1.82736
   1.95415
   0.32604
  -4.20716
  -3.35865
  -3.55485
  -4.19963
  -1.48248
  -3.36156
  -4.90467
  -4.13336
  -4.77458
  -4.48397
  -3.73977
  -5.05288
  -5.68628
  -5.63651
  -4.50440
  -4.34723
  -3.20989
  -4.76126
  -4.49000
  -4.07495
  -5.06204
  -3.79270
  -2.85444
  -3.21123
Metropolis acceptance rate for gamma = 0.21827



MCMCoprobit iteration 360001 of 1050000 
beta = 
   4.69963
   1.31094
   2.84473
  -0.52485
   1.30172
   0.81121
   0.91463
  -1.37450
   1.07084
   1.71698
  -0.52873
   2.24789
  -1.20836
  -0.52567
   0.39355
   1.65838
   1.38276
  -1.21590
   0.33620
   0.52945
   0.31913
   1.55696
   2.49844
   0.64352
  -3.77517
  -3.19477
  -3.80004
  -3.91647
  -1.86075
  -2.85470
  -4.53090
  -3.98618
  -4.70335
  -3.57844
  -2.94777
  -4.58215
  -5.27375
  -4.88376
  -4.10522
  -3.55177
  -3.28527
  -4.43741
  -3.88377
  -3.21558
  -4.37386
  -3.07842
  -2.49175
  -3.45441
Metropolis acceptance rate for gamma = 0.21801



MCMCoprobit iteration 370001 of 1050000 
beta = 
   5.30584
   0.66566
   2.24521
  -1.28500
   0.97961
   1.04162
   0.20683
  -1.95447
   0.63818
   1.46529
  -0.63502
   1.49616
  -1.25179
  -1.11815
   0.65771
   1.74228
   0.80093
  -1.23999
  -0.15508
   0.12524
   0.15804
   1.46472
   1.85780
   0.19438
  -4.02585
  -3.39843
  -3.98667
  -4.37843
  -1.73581
  -3.30393
  -5.40257
  -4.35869
  -5.13505
  -4.24958
  -3.58938
  -4.83630
  -5.80285
  -5.96290
  -4.76811
  -4.42894
  -3.49496
  -5.03400
  -4.38694
  -4.19398
  -5.59239
  -3.85311
  -2.54074
  -3.37316
Metropolis acceptance rate for gamma = 0.21825



MCMCoprobit iteration 380001 of 1050000 
beta = 
   4.94610
   0.70924
   2.95255
  -0.88423
   1.24834
   1.14097
   0.56927
  -1.55939
   0.98640
   1.98149
  -0.34261
   1.69613
  -1.05961
  -0.32891
   0.80317
   1.53438
   1.05654
  -0.82223
   0.11826
   0.30064
   0.47317
   1.65089
   1.78217
   0.65966
  -4.22024
  -3.29933
  -3.17100
  -3.85999
  -1.65657
  -2.98636
  -4.60781
  -3.81715
  -4.92338
  -4.22687
  -3.59460
  -4.94773
  -5.72692
  -4.88746
  -4.05263
  -3.96074
  -3.19567
  -4.73251
  -3.86110
  -3.52121
  -4.90507
  -3.39488
  -2.32950
  -3.21913
Metropolis acceptance rate for gamma = 0.21817



MCMCoprobit iteration 390001 of 1050000 
beta = 
   5.27776
   0.67058
   3.06351
  -0.58528
   0.99902
   0.95457
   0.78982
  -1.73647
   0.92107
   1.19591
  -0.69380
   2.07412
  -1.04390
  -0.50043
   0.83928
   1.60689
   1.25292
  -1.53510
  -0.02099
   0.78697
  -0.14521
   1.69891
   1.60423
   0.40075
  -4.33644
  -3.91733
  -4.02756
  -3.83394
  -2.11847
  -3.17802
  -5.34667
  -4.40573
  -5.29574
  -4.16594
  -3.57923
  -5.01142
  -5.83141
  -5.74416
  -4.91467
  -4.23163
  -3.29463
  -4.76166
  -4.34223
  -3.91750
  -5.05301
  -3.89900
  -2.85571
  -4.21312
Metropolis acceptance rate for gamma = 0.21817



MCMCoprobit iteration 400001 of 1050000 
beta = 
   4.89669
   0.43162
   2.52509
  -0.50399
   0.97486
   1.14655
   0.41752
  -1.38429
   0.97739
   1.74554
  -0.28227
   1.83708
  -1.07138
  -0.52607
   1.13599
   1.65072
   1.46880
  -0.86901
  -0.01422
   0.01515
  -0.06522
   1.45615
   2.45582
   0.80750
  -4.08300
  -3.69250
  -4.18841
  -3.53065
  -1.79500
  -2.69821
  -5.09734
  -3.65622
  -4.86868
  -4.08153
  -3.35066
  -4.85966
  -5.39218
  -4.86819
  -4.67233
  -3.65907
  -2.94634
  -4.44825
  -3.78115
  -3.65140
  -4.70526
  -3.38711
  -2.38060
  -3.53089
Metropolis acceptance rate for gamma = 0.21835



MCMCoprobit iteration 410001 of 1050000 
beta = 
   4.92072
   0.61740
   3.39539
  -0.46467
   1.17819
   1.00748
   0.56353
  -1.58558
   1.15424
   1.61059
   0.08920
   1.96812
  -0.65340
  -0.20625
   0.73503
   2.79339
   1.44455
  -0.66445
   0.23090
   0.30603
   0.63625
   2.08896
   2.26187
   0.66022
  -3.82037
  -3.26684
  -3.72420
  -3.77985
  -1.82249
  -3.32744
  -4.74452
  -4.07169
  -4.26141
  -4.28387
  -3.24742
  -4.63892
  -5.72187
  -5.20414
  -4.36412
  -4.36131
  -3.25188
  -5.04911
  -3.67060
  -3.59546
  -4.79579
  -3.29956
  -2.81666
  -3.51559
Metropolis acceptance rate for gamma = 0.21845



MCMCoprobit iteration 420001 of 1050000 
beta = 
   5.38117
   0.56352
   2.47850
  -0.81741
   1.15817
   0.72072
   0.45922
  -1.93750
   0.77903
   1.71658
  -0.70403
   1.59566
  -1.41533
  -0.96146
   0.35379
   1.82269
   1.06961
  -1.31366
  -0.29340
  -0.22935
   0.17362
   1.65080
   1.75969
   0.07559
  -4.02609
  -3.75736
  -4.24852
  -3.93891
  -1.69806
  -3.44269
  -4.63717
  -4.49979
  -5.09677
  -4.59482
  -3.62973
  -4.87060
  -6.45805
  -5.33096
  -5.19387
  -4.09460
  -3.41550
  -5.07799
  -4.21102
  -4.04716
  -4.65676
  -3.61006
  -3.02659
  -3.98142
Metropolis acceptance rate for gamma = 0.21816



MCMCoprobit iteration 430001 of 1050000 
beta = 
   4.63863
   0.77196
   3.34873
  -1.17965
   1.45611
   1.34318
   0.83500
  -1.56466
   1.17954
   2.04385
  -0.20146
   2.17816
  -0.83064
  -0.07637
   0.54171
   2.24216
   1.25702
  -0.87566
  -0.00246
   0.05502
   0.82953
   1.53604
   2.24928
   0.27581
  -3.33613
  -2.92172
  -3.29763
  -4.07791
  -1.31131
  -2.67029
  -4.55023
  -3.41994
  -4.37347
  -3.57378
  -3.03218
  -4.37404
  -5.40617
  -4.85057
  -3.71968
  -3.56845
  -3.02708
  -4.49016
  -3.18511
  -3.38884
  -3.82184
  -3.16888
  -2.54584
  -2.99733
Metropolis acceptance rate for gamma = 0.21819



MCMCoprobit iteration 440001 of 1050000 
beta = 
   4.95241
   1.53044
   3.15621
  -0.67247
   1.68387
   1.40842
   1.17770
  -1.59764
   1.17050
   1.65818
  -0.60417
   2.56364
  -0.93570
  -0.57392
   0.57224
   2.17646
   1.53060
  -0.79709
  -0.11420
   0.17999
   0.91925
   1.78600
   2.91492
   0.60969
  -3.93954
  -3.50848
  -3.17677
  -3.96621
  -1.79072
  -2.82799
  -4.62133
  -4.64779
  -5.04129
  -4.37125
  -3.24308
  -4.98220
  -5.49852
  -5.36324
  -4.26665
  -3.53110
  -3.09676
  -4.36349
  -4.03268
  -3.42309
  -4.29630
  -3.71494
  -1.98205
  -4.03759
Metropolis acceptance rate for gamma = 0.21819



MCMCoprobit iteration 450001 of 1050000 
beta = 
   5.16785
   1.52837
   2.83461
  -0.61291
   1.28689
   1.13799
   0.72923
  -1.97411
   1.03004
   1.88978
   0.17916
   2.21697
  -0.78564
  -0.39464
   0.70109
   1.18952
   0.93606
  -1.20259
  -0.04212
  -0.07812
   0.88936
   1.88370
   2.41336
   0.70874
  -4.06237
  -3.46059
  -4.00582
  -4.06479
  -1.87025
  -2.65344
  -4.85602
  -4.56508
  -4.69321
  -4.39361
  -3.51782
  -5.49358
  -5.52033
  -5.63772
  -4.39565
  -4.11580
  -3.61556
  -5.23149
  -3.93223
  -3.96139
  -5.15743
  -3.41215
  -2.26548
  -3.85538
Metropolis acceptance rate for gamma = 0.21809



MCMCoprobit iteration 460001 of 1050000 
beta = 
   5.30060
   1.49862
   3.01270
  -0.42383
   0.62882
   0.25928
   0.59991
  -2.15606
   0.58091
   1.24034
  -0.53655
   1.81364
  -1.16878
  -1.03368
   0.41767
   2.07569
   0.99341
  -1.42386
   0.16280
  -0.65363
   0.33650
   1.35603
   1.66508
   0.48038
  -4.07580
  -3.69046
  -3.86689
  -4.10129
  -2.13338
  -3.07963
  -5.38989
  -5.00757
  -5.43925
  -4.78459
  -3.62524
  -5.23709
  -5.92575
  -5.49948
  -4.56916
  -3.89607
  -3.39081
  -5.02953
  -4.15561
  -3.65207
  -5.32797
  -3.50476
  -2.83739
  -4.26605
Metropolis acceptance rate for gamma = 0.21800



MCMCoprobit iteration 470001 of 1050000 
beta = 
   5.37843
   0.32850
   2.45992
  -0.98039
   1.03203
   0.44838
   0.37392
  -2.05511
   1.05891
   1.66392
  -0.88907
   1.85299
  -1.78307
  -0.97972
   0.20519
   2.05627
   0.62902
  -1.35360
  -0.01686
   0.35506
   0.06084
   1.24738
   1.50486
   0.27413
  -4.52936
  -3.52202
  -4.23876
  -4.65152
  -1.86752
  -3.25033
  -5.01043
  -4.10043
  -4.75723
  -4.45887
  -3.77997
  -5.13953
  -6.10097
  -5.65854
  -4.56307
  -4.30685
  -3.55670
  -4.80299
  -4.31447
  -4.27492
  -4.84272
  -3.47130
  -2.84577
  -3.89984
Metropolis acceptance rate for gamma = 0.21800



MCMCoprobit iteration 480001 of 1050000 
beta = 
   5.27498
   0.63971
   2.82156
  -0.76226
   0.69826
   0.71440
   0.49656
  -1.60675
   1.23657
   1.43336
  -0.34599
   2.05977
  -1.02501
  -1.02919
   0.29844
   2.11724
   1.13102
  -1.01087
  -0.16116
  -0.02521
   0.17037
   0.84968
   2.15908
   0.18060
  -4.71407
  -3.95393
  -3.94853
  -4.08701
  -1.90722
  -3.38712
  -4.84705
  -4.31008
  -4.79579
  -4.50036
  -3.86148
  -5.50725
  -5.84987
  -5.42664
  -4.64616
  -4.03702
  -3.65514
  -5.41337
  -3.91408
  -4.27063
  -5.40897
  -3.29829
  -2.80675
  -3.95738
Metropolis acceptance rate for gamma = 0.21816



MCMCoprobit iteration 490001 of 1050000 
beta = 
   4.96861
   0.20741
   1.85320
  -1.46230
   1.13474
   0.49031
  -0.18272
  -1.90333
   0.62125
   1.15184
  -0.79541
   1.47677
  -1.28241
  -0.88358
  -0.10297
   1.32945
   0.65824
  -1.60343
  -0.70707
  -0.41982
  -0.20491
   0.85703
   1.83610
   0.06858
  -3.95718
  -3.61692
  -3.82335
  -3.60642
  -1.53613
  -3.25523
  -4.26550
  -4.31564
  -4.58534
  -4.17856
  -3.17070
  -4.59158
  -5.96843
  -5.59229
  -4.64398
  -3.64862
  -3.34029
  -5.23249
  -4.02328
  -3.69872
  -4.67562
  -3.55423
  -2.66812
  -3.99175
Metropolis acceptance rate for gamma = 0.21822



MCMCoprobit iteration 500001 of 1050000 
beta = 
   4.95027
   1.14627
   3.05994
  -0.60241
   1.49410
   0.84791
   1.34628
  -1.62466
   1.39876
   1.64438
  -0.32928
   1.97540
  -0.89590
  -0.46131
   0.92312
   2.15069
   1.51391
  -0.87882
   0.09090
   0.08303
   0.78406
   1.99109
   2.34437
   0.51511
  -3.84372
  -3.31410
  -3.36264
  -3.73753
  -1.47836
  -2.68067
  -4.84764
  -3.88664
  -4.81622
  -3.88683
  -3.09159
  -4.79750
  -5.85736
  -5.41936
  -4.28371
  -4.49340
  -2.90687
  -4.45392
  -3.69791
  -3.75832
  -4.73060
  -3.46156
  -2.29047
  -3.09529
Metropolis acceptance rate for gamma = 0.21828



MCMCoprobit iteration 510001 of 1050000 
beta = 
   4.91789
   0.26045
   3.34907
  -0.83362
   1.62342
   0.54328
   0.34560
  -1.73506
   1.29536
   2.04046
  -0.50143
   1.79511
  -1.20198
  -0.45204
   0.57427
   1.74782
   1.17225
  -1.01691
   0.66784
   0.29068
   0.42813
   1.71951
   2.20802
   0.79844
  -3.75532
  -3.34379
  -3.51641
  -3.61515
  -1.95428
  -3.02223
  -4.70382
  -3.61291
  -4.54451
  -4.03517
  -3.14528
  -5.07973
  -5.31844
  -5.08646
  -4.10562
  -3.50433
  -3.21914
  -4.16787
  -3.96353
  -3.75364
  -4.95297
  -3.07910
  -2.20800
  -3.23479
Metropolis acceptance rate for gamma = 0.21831



MCMCoprobit iteration 520001 of 1050000 
beta = 
   5.69475
   0.55121
   2.62447
  -1.20438
   0.28978
   0.17530
   0.00935
  -2.29151
   0.27619
   0.74946
  -1.30678
   1.47072
  -1.05366
  -1.20343
   0.01064
   1.07963
   0.58654
  -1.21039
  -0.83515
  -0.24770
   0.04536
   1.14073
   1.93006
  -0.17462
  -4.94039
  -3.89710
  -4.22898
  -4.11295
  -2.29391
  -3.50226
  -5.33937
  -5.04840
  -5.44996
  -5.11466
  -4.22173
  -5.60097
  -6.55776
  -6.03588
  -4.64525
  -4.66732
  -3.70328
  -5.67467
  -4.87884
  -4.19801
  -5.35481
  -3.84040
  -3.32759
  -4.29625
Metropolis acceptance rate for gamma = 0.21858



MCMCoprobit iteration 530001 of 1050000 
beta = 
   5.08726
   0.45960
   2.72310
  -1.50259
   0.83429
   0.76191
   0.69422
  -1.42499
   0.90472
   1.61665
  -0.27674
   1.78602
  -1.04572
  -0.57988
   0.23387
   1.73387
   1.06988
  -0.70910
  -0.16532
   0.17612
   0.16058
   1.20892
   2.26952
   0.16767
  -4.22688
  -3.27015
  -3.58724
  -4.10459
  -1.41392
  -3.11617
  -5.18593
  -4.18981
  -4.88202
  -3.93733
  -3.42285
  -4.79881
  -5.16045
  -5.23097
  -4.48510
  -3.92327
  -3.50398
  -4.88536
  -4.34165
  -3.43104
  -5.05618
  -3.48268
  -2.51769
  -3.94666
Metropolis acceptance rate for gamma = 0.21871



MCMCoprobit iteration 540001 of 1050000 
beta = 
   5.20965
   0.95858
   3.35211
  -0.87960
   1.36398
   0.66342
   1.14515
  -1.87972
   1.18766
   1.66538
  -0.17535
   1.98170
  -1.32304
  -0.59190
   0.61390
   2.26067
   1.59805
  -1.34636
  -0.19713
  -0.02428
   0.66910
   2.12990
   2.33788
   0.38888
  -4.40927
  -3.28673
  -3.69463
  -3.95425
  -1.65377
  -3.12803
  -4.85280
  -4.47512
  -4.79558
  -4.48059
  -3.66923
  -5.01113
  -5.87249
  -6.04049
  -5.03546
  -4.38643
  -3.40819
  -5.00770
  -4.08204
  -3.84399
  -5.06499
  -3.64347
  -2.65045
  -3.86358
Metropolis acceptance rate for gamma = 0.21870



MCMCoprobit iteration 550001 of 1050000 
beta = 
   5.21622
   0.31263
   2.81374
  -1.40099
   1.07771
   0.94017
   0.21757
  -1.76365
   1.22486
   1.97946
  -0.82079
   2.00372
  -1.49634
  -1.08544
   0.62906
   2.22812
   1.31494
  -1.20262
   0.26462
   0.22287
   0.31864
   1.42373
   2.25375
   0.51485
  -4.31117
  -3.28865
  -3.85875
  -4.23765
  -1.70136
  -3.45688
  -5.23698
  -4.35965
  -4.56843
  -4.31334
  -3.51139
  -4.78331
  -5.52580
  -5.45285
  -5.05815
  -4.19517
  -3.42128
  -5.37828
  -4.34011
  -3.86629
  -4.88630
  -3.55051
  -2.95585
  -3.86719
Metropolis acceptance rate for gamma = 0.21866



MCMCoprobit iteration 560001 of 1050000 
beta = 
   5.22029
   0.33895
   2.47689
  -1.25652
   1.23151
   0.97998
   0.45299
  -1.92732
   0.95537
   1.82537
  -0.35464
   1.56070
  -0.95822
  -0.67912
   0.88626
   1.67957
   0.77647
  -1.15910
   0.12757
  -0.51933
   0.40105
   1.04006
   1.94803
   0.57616
  -4.13162
  -3.46268
  -4.11744
  -4.17066
  -1.84715
  -2.71083
  -5.48229
  -4.42181
  -4.53186
  -4.39360
  -3.79765
  -5.17330
  -6.16903
  -6.10351
  -4.72805
  -4.41405
  -3.45042
  -5.37719
  -4.40950
  -3.57183
  -4.88169
  -3.46863
  -2.21240
  -3.18220
Metropolis acceptance rate for gamma = 0.21863



MCMCoprobit iteration 570001 of 1050000 
beta = 
   5.09544
   0.81149
   2.91402
  -0.42011
   1.59974
   1.04260
   0.52407
  -1.38794
   1.10961
   2.22959
  -0.07779
   2.33972
  -0.65956
  -0.30710
   0.93110
   2.07685
   1.21943
  -1.17553
   0.23494
   0.35297
   0.36916
   1.76758
   2.50141
   0.70195
  -4.17055
  -3.07395
  -3.79280
  -3.86403
  -1.42407
  -2.48769
  -4.74574
  -4.74070
  -4.60827
  -4.67915
  -3.37239
  -4.92411
  -5.72910
  -5.50546
  -4.67369
  -4.17422
  -3.56406
  -5.13335
  -3.87468
  -3.35737
  -4.58775
  -3.63941
  -2.74208
  -3.58094
Metropolis acceptance rate for gamma = 0.21869



MCMCoprobit iteration 580001 of 1050000 
beta = 
   4.59506
   1.15377
   3.12054
  -0.45550
   1.42217
   1.26903
   0.97944
  -0.95832
   1.29541
   1.75398
  -0.49558
   2.03527
  -0.73396
  -0.12007
   1.02084
   2.14861
   1.55362
  -0.77044
   0.51969
   0.97788
   0.35716
   1.65806
   1.76954
   0.42393
  -3.85091
  -3.06563
  -2.96800
  -3.90992
  -1.27808
  -2.81370
  -4.60427
  -3.64670
  -4.23179
  -4.13675
  -2.91176
  -4.72362
  -5.39683
  -4.41311
  -3.74548
  -3.53197
  -2.78131
  -4.44984
  -3.94085
  -2.94652
  -4.47880
  -2.59155
  -1.92982
  -2.98986
Metropolis acceptance rate for gamma = 0.21881



MCMCoprobit iteration 590001 of 1050000 
beta = 
   4.86483
   0.39318
   3.34938
  -0.91788
   0.97879
   1.04873
   0.82091
  -1.43890
   1.23016
   1.74970
  -0.18728
   2.44589
  -1.24605
  -0.45269
   0.48472
   2.13396
   1.22200
  -1.10670
   0.36615
   0.64100
   0.60994
   1.94927
   2.21515
   0.13686
  -3.66636
  -3.07382
  -3.62545
  -3.80034
  -1.82569
  -2.95511
  -4.65025
  -3.55932
  -4.56722
  -4.09527
  -3.29267
  -4.85346
  -5.94990
  -5.61925
  -4.32308
  -4.04344
  -3.81833
  -4.41116
  -3.46617
  -3.81184
  -5.06220
  -2.83829
  -2.29990
  -3.13552
Metropolis acceptance rate for gamma = 0.21886



MCMCoprobit iteration 600001 of 1050000 
beta = 
   4.77623
   0.80246
   2.71137
  -0.64323
   0.93555
   1.03833
   0.73144
  -1.75957
   1.01475
   1.89740
  -0.51100
   2.16258
  -1.14363
  -0.21927
   0.56777
   2.13194
   1.17676
  -0.86435
   0.12326
  -0.46880
   0.45581
   1.18847
   2.12858
   0.43191
  -3.80983
  -2.77415
  -3.45136
  -3.90962
  -1.62635
  -2.76479
  -4.71118
  -4.03665
  -4.55861
  -3.96999
  -3.59265
  -4.63521
  -5.51813
  -5.53618
  -4.11796
  -3.36750
  -3.38528
  -4.62794
  -3.65142
  -3.47434
  -4.47020
  -3.06923
  -2.47352
  -2.95159
Metropolis acceptance rate for gamma = 0.21890



MCMCoprobit iteration 610001 of 1050000 
beta = 
   5.04986
   0.85643
   3.40543
  -0.56311
   1.07578
   1.12690
   0.83654
  -1.12911
   1.53774
   2.00216
   0.00752
   2.05451
  -0.71471
  -0.14251
   0.86438
   2.04154
   1.28650
  -0.99594
   0.37987
   1.00371
   0.53433
   1.76493
   2.54874
   0.73715
  -4.12198
  -3.23125
  -3.61537
  -4.35004
  -1.78258
  -2.93726
  -4.69682
  -4.38891
  -4.93313
  -4.14648
  -2.78396
  -5.27969
  -6.19927
  -5.33617
  -4.59544
  -4.09758
  -3.46123
  -4.61474
  -4.04144
  -3.19125
  -5.04729
  -3.66111
  -2.33799
  -3.65743
Metropolis acceptance rate for gamma = 0.21903



MCMCoprobit iteration 620001 of 1050000 
beta = 
   4.97649
   0.99316
   2.21601
  -0.68943
   0.96679
   0.81766
   0.15851
  -1.59276
   0.94173
   1.53004
  -0.44430
   1.95585
  -1.28018
  -0.70933
   0.42733
   2.18797
   1.22252
  -0.79617
  -0.29878
  -0.47101
   0.19507
   1.09979
   1.83430
   0.31166
  -3.84854
  -3.07335
  -3.64993
  -4.19887
  -1.70442
  -2.92544
  -4.53738
  -4.54850
  -4.85983
  -4.21639
  -3.34290
  -4.85315
  -5.80395
  -5.42926
  -4.37330
  -4.44983
  -3.19321
  -4.58165
  -3.81095
  -3.88090
  -4.66338
  -3.10387
  -2.62909
  -3.37234
Metropolis acceptance rate for gamma = 0.21898



MCMCoprobit iteration 630001 of 1050000 
beta = 
   5.16730
   0.54162
   2.89156
  -0.53511
   1.18162
   0.85933
   0.78521
  -1.29919
   0.94404
   1.63129
  -0.31870
   2.47821
  -1.21174
  -0.65673
   0.77947
   2.09852
   0.94351
  -1.06884
  -0.10091
   0.61279
   0.36852
   1.16194
   2.33336
   0.49349
  -4.31766
  -3.13470
  -3.57383
  -3.95104
  -1.82997
  -3.03939
  -4.57095
  -4.86913
  -5.15757
  -4.44104
  -3.56486
  -4.59047
  -5.64524
  -5.62195
  -4.08692
  -4.26569
  -3.45536
  -5.12897
  -4.14532
  -3.74258
  -4.54808
  -3.08675
  -2.67683
  -3.79610
Metropolis acceptance rate for gamma = 0.21885



MCMCoprobit iteration 640001 of 1050000 
beta = 
   5.00751
   0.05328
   2.96797
  -1.30441
   0.74819
   0.82192
   0.13965
  -1.87152
   0.92565
   1.56139
  -0.65608
   1.44159
  -1.51496
  -0.95940
   0.12644
   1.97268
   0.66330
  -1.51353
  -0.28846
   0.60734
   0.29201
   1.27890
   1.64640
   0.05114
  -4.10117
  -3.21563
  -3.69062
  -3.91760
  -2.35988
  -3.22889
  -5.36818
  -4.51227
  -4.28314
  -4.11686
  -3.18051
  -4.98079
  -5.57675
  -5.30933
  -4.77137
  -3.61304
  -3.39030
  -4.66460
  -4.01435
  -3.65529
  -4.89907
  -3.15293
  -2.77221
  -3.93488
Metropolis acceptance rate for gamma = 0.21883



MCMCoprobit iteration 650001 of 1050000 
beta = 
   5.34206
   0.10231
   2.83449
  -1.11147
   1.02311
   0.64311
  -0.22038
  -2.44284
   0.78972
   1.38547
  -0.97731
   1.61189
  -1.40898
  -1.16242
   0.11867
   1.90665
   0.50609
  -1.89274
  -0.42031
  -0.29865
   0.05302
   0.93538
   2.43629
  -0.45510
  -3.85762
  -3.28491
  -3.94568
  -4.53406
  -2.46913
  -3.30176
  -4.72444
  -4.61527
  -4.84108
  -4.54613
  -3.45701
  -4.90577
  -6.06554
  -5.51039
  -5.23472
  -4.20345
  -3.54344
  -5.36306
  -4.03423
  -3.79532
  -5.00286
  -3.71260
  -3.19663
  -4.29064
Metropolis acceptance rate for gamma = 0.21876



MCMCoprobit iteration 660001 of 1050000 
beta = 
   4.97846
   1.24722
   2.84278
  -0.84942
   1.34317
   0.80210
   0.29508
  -2.01628
   0.75312
   1.49709
  -0.11472
   1.76628
  -0.86566
  -0.12391
   0.11937
   1.57364
   1.28679
  -0.82812
  -0.05453
  -0.08206
   0.13367
   1.43644
   1.81891
   0.15505
  -3.86750
  -3.30210
  -3.64093
  -3.87879
  -1.89233
  -2.58462
  -4.95783
  -4.39573
  -4.97291
  -4.53810
  -3.16458
  -4.43657
  -5.33140
  -5.15606
  -4.36962
  -3.82478
  -3.27079
  -4.54515
  -3.96050
  -3.49295
  -4.32430
  -3.39748
  -2.40169
  -3.40917
Metropolis acceptance rate for gamma = 0.21877



MCMCoprobit iteration 670001 of 1050000 
beta = 
   4.95870
   0.65546
   2.89103
  -1.24292
   0.80821
   1.02190
   0.52237
  -1.39197
   1.46321
   1.79201
  -0.28839
   2.46817
  -1.30634
  -1.06069
   0.80380
   1.72793
   1.36573
  -1.59477
   0.02549
   0.16445
   0.50108
   1.24628
   2.42226
   0.29584
  -3.53675
  -3.33158
  -3.75572
  -4.25673
  -2.06684
  -3.51709
  -4.77384
  -4.22133
  -4.74863
  -4.23265
  -3.33126
  -4.78925
  -5.87900
  -5.27019
  -4.58290
  -3.84204
  -3.28603
  -4.89986
  -3.56776
  -3.35317
  -4.74777
  -3.10816
  -2.66601
  -3.71291
Metropolis acceptance rate for gamma = 0.21873



MCMCoprobit iteration 680001 of 1050000 
beta = 
   5.22296
   1.11375
   2.96269
  -0.62574
   1.04206
   1.07814
   0.20499
  -1.28961
   0.47353
   1.42783
  -0.30123
   2.03583
  -0.95741
  -0.79825
   0.41142
   1.88477
   1.34601
  -1.17013
  -0.18102
   0.05981
   0.30515
   1.39738
   1.94592
   0.90898
  -4.20975
  -3.29868
  -3.76218
  -4.19034
  -1.51139
  -3.27060
  -5.23677
  -4.47068
  -4.87541
  -4.48548
  -3.20448
  -5.24433
  -5.79794
  -5.05528
  -4.72742
  -4.72985
  -3.63111
  -5.11817
  -4.27549
  -4.11563
  -5.27402
  -3.40672
  -2.32095
  -3.63773
Metropolis acceptance rate for gamma = 0.21853



MCMCoprobit iteration 690001 of 1050000 
beta = 
   4.86023
   1.02176
   3.19632
  -0.78026
   0.97084
   1.04661
   0.74798
  -1.79049
   1.12278
   1.56182
  -0.32302
   2.57239
  -1.22456
  -0.53388
   0.67871
   2.40622
   1.17003
  -0.57006
  -0.07156
  -0.38696
   0.64713
   1.61095
   1.99314
   0.65739
  -3.90754
  -3.12340
  -3.43908
  -3.97688
  -1.65358
  -3.35051
  -5.10515
  -4.24565
  -4.53324
  -4.22710
  -3.28064
  -5.02212
  -5.58695
  -4.83241
  -4.32916
  -4.25274
  -2.88751
  -4.77890
  -4.15364
  -3.89547
  -4.74446
  -3.46340
  -2.23247
  -3.41715
Metropolis acceptance rate for gamma = 0.21854



MCMCoprobit iteration 700001 of 1050000 
beta = 
   5.48760
   0.62758
   2.57047
  -0.96109
   0.76193
   0.50992
   0.03926
  -1.72278
   0.67094
   1.12871
  -0.78073
   1.79028
  -1.24730
  -0.90778
   0.15813
   1.56387
   0.51463
  -1.12848
  -0.27366
   0.03378
  -0.02020
   1.06918
   1.78930
   0.48158
  -4.75695
  -3.59809
  -4.20886
  -4.73963
  -2.11421
  -3.31442
  -5.17030
  -4.14984
  -5.04553
  -4.58441
  -3.55036
  -5.38988
  -6.44905
  -5.53851
  -4.82924
  -4.56961
  -3.54265
  -5.11825
  -4.67099
  -3.87422
  -5.13898
  -3.92480
  -2.37317
  -4.18809
Metropolis acceptance rate for gamma = 0.21858



MCMCoprobit iteration 710001 of 1050000 
beta = 
   5.31262
   1.43936
   2.58767
  -1.00316
   0.91902
   0.86109
   0.28269
  -1.66420
   0.72399
   1.64226
  -0.63800
   1.87958
  -1.46051
  -0.58461
   0.26016
   1.81645
   1.00066
  -1.55767
  -0.58529
  -0.33005
   0.40646
   1.14056
   2.22248
   0.14992
  -4.17639
  -3.56288
  -4.23737
  -4.03541
  -1.82952
  -3.41182
  -5.31243
  -4.28658
  -5.06974
  -4.23094
  -3.35712
  -5.16711
  -6.01878
  -5.65210
  -4.53486
  -4.12529
  -3.66259
  -5.26249
  -4.19679
  -3.51291
  -5.45457
  -3.59947
  -2.77927
  -3.56361
Metropolis acceptance rate for gamma = 0.21858



MCMCoprobit iteration 720001 of 1050000 
beta = 
   5.00815
   0.82298
   3.02768
  -0.58291
   1.16292
   0.87862
   0.69382
  -1.38212
   0.69249
   1.44920
  -0.41378
   1.87430
  -0.74532
  -0.60149
   0.42914
   2.00221
   1.11248
  -1.11284
  -0.09989
   0.79430
   0.40386
   1.23479
   2.15027
  -0.11466
  -3.81330
  -3.38452
  -3.61504
  -4.41373
  -1.21145
  -3.00992
  -4.69501
  -4.65606
  -4.68794
  -4.42588
  -3.70557
  -4.92712
  -5.57345
  -5.07651
  -4.20373
  -4.94822
  -2.91398
  -4.52268
  -3.78402
  -3.33555
  -4.89195
  -3.79483
  -2.20806
  -3.34690
Metropolis acceptance rate for gamma = 0.21866



MCMCoprobit iteration 730001 of 1050000 
beta = 
   4.94841
   0.67711
   2.80897
  -1.14293
   0.83188
   0.17710
   0.41107
  -1.71964
   0.65316
   1.31444
  -0.15239
   1.87129
  -1.59776
  -0.57454
   0.60073
   1.05948
   1.36598
  -0.91999
   0.03232
   0.15477
   0.32970
   1.34744
   2.17270
   0.46007
  -3.66665
  -3.69133
  -3.85349
  -3.83278
  -1.62503
  -2.85261
  -4.68582
  -3.69797
  -4.61351
  -4.18003
  -3.53040
  -4.99830
  -6.07190
  -5.08543
  -4.39704
  -4.05482
  -3.23876
  -4.73392
  -4.01635
  -3.68868
  -4.28103
  -3.56612
  -2.79053
  -3.49789
Metropolis acceptance rate for gamma = 0.21855



MCMCoprobit iteration 740001 of 1050000 
beta = 
   4.67821
   0.65113
   2.68317
  -1.04185
   1.24255
   1.34403
   0.24092
  -1.56812
   1.00318
   1.69596
  -1.14520
   1.91384
  -1.54501
  -0.28823
   0.71944
   1.71000
   1.08154
  -1.38191
  -0.03714
   0.66959
   0.61584
   1.36946
   2.44179
   0.39375
  -3.91963
  -3.36109
  -3.46733
  -3.54586
  -1.93745
  -2.87939
  -4.18370
  -4.66655
  -4.38337
  -4.21096
  -3.05614
  -4.89519
  -5.02050
  -5.40285
  -3.85162
  -3.75143
  -3.22178
  -4.21884
  -3.37932
  -3.50680
  -4.73073
  -3.12801
  -2.74926
  -3.34597
Metropolis acceptance rate for gamma = 0.21862



MCMCoprobit iteration 750001 of 1050000 
beta = 
   5.17501
   0.65475
   3.08548
  -0.69176
   1.40657
   1.02592
   0.33956
  -1.86468
   0.94652
   1.50444
   0.16184
   1.78038
  -0.95576
  -0.43142
   0.40968
   1.78170
   1.42308
  -1.16470
   0.22695
   0.32663
   0.39431
   1.30216
   2.33215
   0.63342
  -4.50467
  -3.22344
  -3.92421
  -3.80632
  -1.20389
  -2.90664
  -5.44359
  -4.26690
  -4.69666
  -4.10088
  -3.63418
  -4.96966
  -5.68951
  -5.31022
  -4.46247
  -4.34294
  -3.05460
  -5.14481
  -3.72930
  -3.37739
  -4.96461
  -3.17896
  -2.71408
  -3.42687
Metropolis acceptance rate for gamma = 0.21862



MCMCoprobit iteration 760001 of 1050000 
beta = 
   4.78207
   1.18541
   3.43038
  -0.77905
   1.19071
   1.53855
   0.38573
  -1.55176
   1.46316
   1.86040
  -0.27924
   2.52660
  -0.69711
   0.14869
   1.30723
   2.70220
   2.08537
  -0.55930
   0.02264
   0.85208
   0.95751
   1.75100
   2.66979
   0.35896
  -3.50336
  -3.15321
  -4.14230
  -3.87508
  -2.02582
  -2.53651
  -4.90553
  -3.95507
  -4.54402
  -3.76056
  -3.20606
  -4.52443
  -5.47137
  -5.09599
  -4.54002
  -3.32973
  -3.19537
  -4.37051
  -3.49816
  -3.49004
  -4.92651
  -2.97061
  -2.83411
  -3.68859
Metropolis acceptance rate for gamma = 0.21872



MCMCoprobit iteration 770001 of 1050000 
beta = 
   5.11339
   0.66304
   3.22640
  -0.95386
   0.72882
   0.62753
   0.75402
  -1.50999
   0.96513
   1.77978
  -0.31147
   2.30619
  -1.26748
  -0.62069
   0.78670
   1.91735
   1.29916
  -1.84674
  -0.19221
   0.08896
   0.09436
   1.42712
   1.74067
   0.41580
  -4.09452
  -3.43267
  -3.96359
  -4.25045
  -2.17194
  -3.38716
  -4.73806
  -4.59953
  -4.91346
  -4.09974
  -2.98785
  -5.08958
  -6.09001
  -5.91290
  -4.67911
  -4.53768
  -3.51671
  -4.87015
  -4.25429
  -3.50118
  -4.40353
  -3.39683
  -2.46675
  -3.28445
Metropolis acceptance rate for gamma = 0.21872



MCMCoprobit iteration 780001 of 1050000 
beta = 
   5.26531
   1.37840
   2.84454
  -1.05258
   1.07039
   0.75753
   0.82824
  -2.51103
   0.97405
   1.69036
  -0.34365
   1.57821
  -1.26399
  -0.61478
   0.45015
   2.36952
   0.92300
  -1.19774
  -0.29691
   0.08642
   0.35726
   1.57475
   2.09617
   0.26102
  -4.16633
  -3.26387
  -4.37002
  -4.66508
  -1.79520
  -3.46884
  -5.03238
  -4.21673
  -5.31249
  -4.50456
  -3.58809
  -5.21155
  -6.16305
  -5.34690
  -4.63452
  -4.75449
  -3.02333
  -5.13328
  -4.02074
  -3.47751
  -5.06287
  -3.46360
  -3.22723
  -3.76337
Metropolis acceptance rate for gamma = 0.21868



MCMCoprobit iteration 790001 of 1050000 
beta = 
   4.50296
   1.19829
   2.78205
  -0.20240
   1.26393
   1.63237
   0.83165
  -1.39511
   1.29229
   1.84388
   0.17743
   2.06409
  -0.81217
  -0.30150
   0.79148
   2.17949
   1.26421
  -0.82983
   0.10932
   0.88221
   0.34333
   1.52439
   2.01275
   0.70746
  -3.57958
  -2.98055
  -2.93483
  -3.51580
  -1.50763
  -2.40917
  -4.28785
  -3.53652
  -4.21456
  -3.50827
  -3.24984
  -4.89454
  -5.05569
  -4.85664
  -4.24616
  -3.74701
  -3.14424
  -4.58483
  -3.20559
  -3.31114
  -4.09360
  -2.88916
  -2.12975
  -3.24540
Metropolis acceptance rate for gamma = 0.21874



MCMCoprobit iteration 800001 of 1050000 
beta = 
   5.32201
  -0.13573
   2.97226
  -1.31326
   0.87154
   0.68091
   0.16418
  -2.39219
   0.45147
   1.45600
  -0.72940
   1.89725
  -1.75443
  -0.88112
   0.05180
   1.95163
   1.14700
  -1.20745
  -0.32734
  -0.33481
   0.34274
   1.35243
   1.81777
  -0.05579
  -3.66237
  -3.72611
  -4.01704
  -4.30769
  -2.12058
  -3.23953
  -4.90401
  -5.09194
  -4.92946
  -4.63330
  -3.88540
  -5.24189
  -6.17296
  -5.19359
  -4.39843
  -4.26244
  -3.29298
  -5.05866
  -4.00156
  -3.87243
  -5.27941
  -3.45797
  -3.01828
  -3.89746
Metropolis acceptance rate for gamma = 0.21874



MCMCoprobit iteration 810001 of 1050000 
beta = 
   5.05469
   0.67355
   2.81312
  -0.95998
   1.00793
   0.86367
   0.58944
  -1.97168
   0.89998
   1.26369
  -0.56573
   1.61335
  -1.42379
  -0.40028
   0.34467
   1.50543
   0.56423
  -1.48017
  -0.15747
  -0.10620
  -0.16661
   1.13414
   1.81315
   0.39923
  -3.75768
  -3.43184
  -3.90166
  -3.96452
  -1.98873
  -3.60284
  -4.89501
  -4.53581
  -4.49140
  -4.13554
  -3.43904
  -4.77843
  -5.79201
  -5.46316
  -4.40033
  -3.73517
  -3.44980
  -5.39591
  -3.79993
  -4.02449
  -4.96972
  -3.23455
  -2.56107
  -4.14752
Metropolis acceptance rate for gamma = 0.21879



MCMCoprobit iteration 820001 of 1050000 
beta = 
   5.22494
   1.06665
   2.86865
  -1.29041
   0.92687
   0.62282
   0.39301
  -1.87641
   0.96171
   1.48567
  -0.30088
   1.83838
  -1.14872
  -0.54484
   0.71543
   1.36894
   1.28339
  -0.85320
   0.06143
   0.55448
   0.21560
   1.68406
   2.45248
  -0.17556
  -4.30707
  -3.53849
  -4.32751
  -4.01566
  -1.77800
  -3.16185
  -4.92230
  -4.34449
  -4.88070
  -4.52365
  -3.41657
  -5.42326
  -5.74318
  -5.57811
  -4.60794
  -4.31050
  -3.88678
  -4.75908
  -4.29811
  -4.07571
  -5.23185
  -3.75351
  -2.81038
  -3.69733
Metropolis acceptance rate for gamma = 0.21880



MCMCoprobit iteration 830001 of 1050000 
beta = 
   5.02078
   0.83660
   2.41089
  -0.71033
   1.17503
   1.08324
   0.55825
  -1.62533
   0.98409
   1.41712
  -0.19588
   1.60928
  -1.26795
  -0.74375
   0.50897
   1.37754
   0.99266
  -0.95098
  -0.13352
   0.25344
   0.10074
   1.30537
   2.01764
   0.40840
  -4.05686
  -3.11125
  -3.41950
  -3.98665
  -1.92218
  -2.83752
  -4.97122
  -4.48534
  -4.71920
  -4.10172
  -3.68859
  -4.93345
  -5.58101
  -5.23598
  -4.17134
  -4.17804
  -3.67130
  -4.61033
  -4.08232
  -3.76193
  -5.04188
  -3.18027
  -2.80651
  -3.85620
Metropolis acceptance rate for gamma = 0.21888



MCMCoprobit iteration 840001 of 1050000 
beta = 
   5.00284
   0.88763
   3.07597
  -0.91253
   1.31673
   0.61224
   0.12283
  -1.31249
   0.91741
   2.03206
  -0.38710
   2.14053
  -0.68176
  -0.45182
   0.74283
   2.10996
   0.92263
  -0.94422
  -0.19860
   0.22859
   0.21661
   0.84449
   2.23690
   0.29081
  -3.62575
  -3.19884
  -3.45777
  -3.79412
  -1.87368
  -3.08398
  -4.68997
  -4.44892
  -4.67676
  -4.06447
  -3.61466
  -4.70399
  -5.80746
  -5.13740
  -4.28835
  -4.03103
  -3.13244
  -4.69836
  -4.17592
  -3.54558
  -5.14472
  -3.26902
  -2.42169
  -3.68057
Metropolis acceptance rate for gamma = 0.21891



MCMCoprobit iteration 850001 of 1050000 
beta = 
   4.59377
   1.08922
   3.04778
  -0.24670
   0.88641
   1.12933
   0.93699
  -1.38437
   1.44686
   1.73872
  -0.49345
   1.51669
  -0.45420
  -1.13324
   0.91322
   1.52962
   1.12833
  -0.95242
  -0.04189
   0.12403
   0.34629
   1.87369
   2.12665
   0.29584
  -3.72160
  -3.10056
  -3.46223
  -3.48579
  -1.33120
  -2.67041
  -4.69580
  -3.81878
  -4.68787
  -4.06364
  -3.19996
  -4.35690
  -5.77935
  -5.08352
  -4.26392
  -3.53182
  -3.04705
  -4.28551
  -3.73082
  -3.21592
  -4.70432
  -3.11386
  -2.30426
  -3.08204
Metropolis acceptance rate for gamma = 0.21885



MCMCoprobit iteration 860001 of 1050000 
beta = 
   5.33788
   0.73241
   2.47751
  -1.00757
   0.86744
   0.42609
   0.34113
  -1.95105
   0.91430
   1.55620
  -0.29433
   1.55146
  -1.51808
  -0.82625
   0.59298
   1.37103
   1.46459
  -0.98881
  -0.03753
   0.29995
   0.22678
   1.23937
   2.19336
   0.59311
  -3.95401
  -3.96204
  -3.96443
  -4.74775
  -2.14134
  -3.17260
  -5.27451
  -4.02593
  -5.13622
  -4.44737
  -3.42548
  -5.27255
  -5.82017
  -5.72791
  -4.71343
  -4.33999
  -3.56874
  -4.90325
  -4.45759
  -3.95848
  -4.88849
  -3.38774
  -2.75065
  -3.57990
Metropolis acceptance rate for gamma = 0.21886



MCMCoprobit iteration 870001 of 1050000 
beta = 
   4.85307
   0.91772
   2.70156
  -0.60157
   1.31184
   0.97476
   0.82315
  -1.47911
   1.26521
   1.60906
  -0.31704
   2.59532
  -0.44917
  -0.29531
   0.76518
   2.28684
   1.61671
  -1.06248
  -0.00834
  -0.23497
   0.61255
   1.74709
   1.95269
   0.25896
  -3.71856
  -3.52919
  -3.73226
  -3.81874
  -1.29951
  -2.94081
  -4.28971
  -4.24857
  -4.52502
  -3.67573
  -3.27231
  -4.73306
  -5.56477
  -5.41260
  -4.59511
  -3.81077
  -3.13730
  -4.52759
  -4.04832
  -3.18100
  -5.23483
  -3.15525
  -2.13029
  -3.67919
Metropolis acceptance rate for gamma = 0.21898



MCMCoprobit iteration 880001 of 1050000 
beta = 
   5.38359
   0.31373
   2.57675
  -0.83735
   1.02914
   0.82630
  -0.05382
  -1.86044
   0.85586
   1.40880
  -1.26990
   1.24413
  -1.27409
  -1.00578
   0.35510
   2.33781
   0.92722
  -1.38912
  -0.49650
   0.32743
   0.01471
   1.54115
   2.07970
   0.09726
  -4.28758
  -3.97700
  -4.31209
  -4.57249
  -2.13527
  -3.32409
  -5.43057
  -4.54421
  -4.94412
  -4.64360
  -3.65125
  -4.97796
  -6.63191
  -5.61023
  -4.27424
  -4.67441
  -3.71018
  -4.94620
  -4.31718
  -4.16934
  -5.17105
  -4.07032
  -3.25156
  -4.00507
Metropolis acceptance rate for gamma = 0.21898



MCMCoprobit iteration 890001 of 1050000 
beta = 
   5.06046
   0.48298
   2.68234
  -0.87099
   1.28863
   0.98981
   0.66766
  -1.91790
   0.78766
   1.60236
  -0.46346
   1.93360
  -1.09165
  -0.36027
   0.63444
   1.81675
   1.13634
  -0.67924
  -0.01766
   0.45578
   0.50375
   1.40824
   2.23447
   0.29742
  -3.96680
  -3.39430
  -4.00799
  -4.38220
  -1.54473
  -3.00767
  -4.45876
  -4.81099
  -4.77696
  -3.95873
  -3.80449
  -4.79121
  -5.57974
  -5.47822
  -4.49022
  -4.50458
  -3.12953
  -4.27030
  -3.99796
  -3.66830
  -4.67094
  -3.31603
  -2.49611
  -3.45753
Metropolis acceptance rate for gamma = 0.21893



MCMCoprobit iteration 900001 of 1050000 
beta = 
   5.41098
   0.66587
   3.54320
  -1.27274
   1.04668
   0.63882
   0.21934
  -1.80249
   1.09625
   1.53184
  -0.34135
   1.81161
  -1.12126
  -0.86682
   0.66519
   2.40690
   0.89909
  -1.47830
  -0.39775
   0.18692
   0.42070
   1.53111
   1.82495
   0.22527
  -3.89026
  -3.98323
  -4.50806
  -4.23421
  -1.92246
  -3.55229
  -4.72706
  -4.38596
  -4.75098
  -4.60436
  -3.74615
  -5.07445
  -5.80643
  -6.10662
  -5.24377
  -4.22203
  -3.63259
  -4.97836
  -4.47572
  -4.13539
  -5.02201
  -3.41001
  -2.69329
  -4.31738
Metropolis acceptance rate for gamma = 0.21910



MCMCoprobit iteration 910001 of 1050000 
beta = 
   4.97468
   1.10240
   2.50466
  -1.24753
   0.91257
   0.94261
   0.18440
  -2.34993
   0.85677
   1.21110
  -0.52929
   1.63027
  -0.58954
  -0.61375
   0.20963
   1.37047
   1.12234
  -1.01140
  -0.12564
  -0.32795
   0.12841
   1.55273
   1.93099
   0.43369
  -4.02671
  -3.39764
  -3.61738
  -3.87979
  -1.86300
  -2.83212
  -4.74214
  -4.23823
  -4.34966
  -3.96583
  -3.33697
  -4.52102
  -5.82553
  -5.31369
  -4.74795
  -4.08151
  -3.23588
  -5.08320
  -3.72823
  -3.74843
  -5.00963
  -3.16324
  -2.24968
  -3.66304
Metropolis acceptance rate for gamma = 0.21909



MCMCoprobit iteration 920001 of 1050000 
beta = 
   5.25990
   0.45755
   3.11752
  -1.34441
   0.75059
   1.23324
  -0.00322
  -1.72531
   1.34208
   1.56979
  -0.66526
   2.27087
  -1.01523
  -0.37755
   0.51995
   2.01098
   0.98365
  -1.35860
  -0.40770
  -0.09263
   0.12828
   1.95305
   1.87601
   0.42037
  -3.94876
  -4.02060
  -4.11003
  -4.19664
  -2.02079
  -3.13367
  -4.93742
  -4.75855
  -4.98289
  -4.73475
  -3.50659
  -5.21771
  -6.07765
  -5.59608
  -4.65104
  -4.20303
  -3.39816
  -5.24570
  -4.41747
  -3.91264
  -4.96380
  -3.71986
  -2.96664
  -3.55081
Metropolis acceptance rate for gamma = 0.21906



MCMCoprobit iteration 930001 of 1050000 
beta = 
   5.03177
   1.36703
   3.33257
  -0.82138
   1.66533
   1.27860
   1.29291
  -1.52994
   1.21883
   2.30493
  -0.05252
   1.79190
  -0.88943
  -0.60191
   0.60000
   2.00915
   1.41452
  -0.81340
   0.57545
   0.39138
   0.86468
   1.76010
   1.80738
   0.46107
  -4.17198
  -3.50115
  -4.08652
  -3.96647
  -1.22996
  -3.21474
  -5.45803
  -4.35622
  -5.13048
  -4.53957
  -3.76692
  -4.76136
  -6.16084
  -5.50466
  -4.56075
  -3.91355
  -3.56861
  -4.87411
  -4.23519
  -3.76156
  -4.51470
  -4.00605
  -3.08771
  -3.29347
Metropolis acceptance rate for gamma = 0.21905



MCMCoprobit iteration 940001 of 1050000 
beta = 
   5.00546
   0.32453
   2.53442
  -1.18472
   0.79589
   0.40015
   0.54558
  -2.11269
   1.02354
   1.27580
  -0.49135
   1.71806
  -1.46389
  -0.55708
   0.08704
   1.79623
   1.38201
  -1.57545
  -0.29639
   0.24016
   0.27914
   1.01271
   1.94227
   0.17908
  -4.04908
  -3.26350
  -4.12743
  -3.99606
  -1.88042
  -2.95522
  -4.60581
  -4.10527
  -4.79198
  -3.95607
  -3.71214
  -4.70350
  -5.00499
  -5.43754
  -4.33830
  -3.99786
  -3.39103
  -4.67035
  -4.19034
  -3.39686
  -5.17573
  -3.27715
  -2.65562
  -3.50224
Metropolis acceptance rate for gamma = 0.21904



MCMCoprobit iteration 950001 of 1050000 
beta = 
   4.75887
   1.47212
   3.16405
  -0.58492
   1.34925
   1.28017
   0.89348
  -1.36159
   1.18552
   1.90632
  -0.14083
   2.65340
  -0.87643
  -0.30156
   0.94361
   2.02564
   1.28736
  -0.74562
   0.34231
   0.19434
   0.49900
   1.48675
   2.46992
   0.48263
  -3.71368
  -3.07400
  -3.43733
  -3.80767
  -1.47970
  -2.79587
  -4.33068
  -3.85810
  -4.24038
  -3.97520
  -3.09200
  -4.84984
  -5.45254
  -5.62871
  -3.93626
  -3.86061
  -3.09283
  -4.48792
  -3.68670
  -2.87592
  -4.82441
  -3.32751
  -2.37867
  -3.37016
Metropolis acceptance rate for gamma = 0.21903



MCMCoprobit iteration 960001 of 1050000 
beta = 
   5.70478
   0.64214
   2.82489
  -1.04706
   1.13077
   0.48260
   0.24331
  -2.07327
   0.71425
   0.93178
  -1.11436
   1.46968
  -1.57347
  -0.99067
  -0.02402
   1.42828
   1.51486
  -1.48814
  -0.59987
  -0.05136
   0.31731
   1.03896
   1.71956
  -0.02111
  -4.57864
  -3.94556
  -4.56808
  -4.63205
  -1.93116
  -4.14152
  -5.24118
  -4.96498
  -4.97583
  -4.81709
  -4.38992
  -5.26446
  -6.16717
  -6.16349
  -4.79189
  -4.55316
  -4.17894
  -5.64414
  -4.66407
  -4.03803
  -5.54914
  -3.97363
  -3.33583
  -4.06473
Metropolis acceptance rate for gamma = 0.21895



MCMCoprobit iteration 970001 of 1050000 
beta = 
   5.13828
   1.43938
   3.19702
  -0.24240
   1.03483
   1.53983
   0.64877
  -1.87289
   0.93762
   1.99647
  -0.37208
   1.85066
  -0.84846
   0.27306
   1.12737
   2.30678
   1.05656
  -1.21452
  -0.23260
   0.31828
   0.45909
   1.71781
   2.53890
   0.31558
  -4.20734
  -3.46906
  -4.08431
  -4.73029
  -1.30276
  -3.15240
  -5.32375
  -4.37129
  -4.95993
  -4.57733
  -3.57244
  -4.87655
  -5.84671
  -5.47645
  -4.36300
  -3.83091
  -3.12280
  -5.08017
  -4.17687
  -3.64466
  -5.36635
  -3.68340
  -2.55329
  -4.00583
Metropolis acceptance rate for gamma = 0.21902



MCMCoprobit iteration 980001 of 1050000 
beta = 
   4.99809
   0.35709
   2.90461
  -0.66813
   0.65146
   0.92352
   0.42079
  -1.78020
   1.17776
   1.63602
   0.06477
   1.79290
  -1.19397
  -0.62833
   0.14745
   2.29436
   1.67017
  -1.65638
  -0.38309
   0.29464
   0.25851
   1.85646
   2.06250
   0.73560
  -3.49914
  -3.12246
  -3.95437
  -4.09455
  -1.80364
  -2.92022
  -4.93801
  -4.23434
  -4.80004
  -4.17539
  -3.48774
  -4.91015
  -5.22018
  -5.32555
  -4.58178
  -4.22093
  -3.60806
  -4.62806
  -4.07944
  -3.30013
  -4.87745
  -3.19576
  -2.64049
  -3.14751
Metropolis acceptance rate for gamma = 0.21898



MCMCoprobit iteration 990001 of 1050000 
beta = 
   5.15737
   1.28832
   2.95321
  -0.84267
   1.26357
   1.08231
   0.79330
  -1.39266
   1.13541
   1.86057
  -0.35327
   1.80042
  -1.26361
  -0.63937
   0.57847
   1.81944
   0.87412
  -0.39453
   0.07044
  -0.00914
   0.77564
   1.63179
   2.53225
   0.16037
  -3.98196
  -3.24608
  -3.98021
  -4.24401
  -1.91204
  -3.17788
  -4.55724
  -4.10928
  -4.76958
  -4.13947
  -3.38773
  -4.99833
  -5.65633
  -5.79128
  -4.82247
  -4.66120
  -3.81963
  -4.84047
  -4.03259
  -3.66861
  -4.75336
  -3.04128
  -2.89968
  -3.74306
Metropolis acceptance rate for gamma = 0.21898



MCMCoprobit iteration 1000001 of 1050000 
beta = 
   4.76465
   0.67206
   3.25532
  -0.75045
   1.32321
   0.84893
   0.74041
  -1.80218
   0.87134
   1.68208
  -0.17548
   2.11071
  -1.40112
  -0.51316
   0.68644
   2.00292
   1.12026
  -0.84496
  -0.10322
   0.72516
   0.65727
   1.63021
   2.24659
   0.41969
  -4.43556
  -3.02048
  -3.65557
  -3.81775
  -1.85349
  -3.25865
  -4.73732
  -4.12606
  -4.76040
  -4.10255
  -3.41596
  -4.97532
  -5.02460
  -5.30553
  -3.90760
  -3.01653
  -2.90688
  -4.67489
  -3.63525
  -3.51831
  -4.88569
  -3.71377
  -2.05771
  -3.22896
Metropolis acceptance rate for gamma = 0.21907



MCMCoprobit iteration 1010001 of 1050000 
beta = 
   4.85411
   1.01462
   3.30589
  -0.78958
   1.09603
   0.85010
   0.47451
  -1.51451
   1.22658
   1.80413
   0.37884
   2.16961
  -0.80250
   0.05225
   0.69984
   1.70613
   1.50964
  -0.48140
   0.10780
   0.41551
   0.46066
   1.13931
   2.20503
   0.32990
  -3.45117
  -2.87699
  -3.42793
  -3.69126
  -1.14058
  -2.77025
  -4.50641
  -4.00550
  -4.11883
  -4.01402
  -3.37990
  -4.64689
  -5.68783
  -5.32836
  -4.69220
  -3.79851
  -2.95918
  -4.48579
  -3.85461
  -3.21202
  -4.70143
  -3.17348
  -2.71450
  -3.02126
Metropolis acceptance rate for gamma = 0.21901



MCMCoprobit iteration 1020001 of 1050000 
beta = 
   5.16238
   1.35407
   2.94678
  -1.28697
   1.18913
   0.89001
   0.11501
  -1.45260
   1.16320
   1.79992
  -0.63889
   1.94846
  -1.40544
  -0.54220
   0.80037
   1.72943
   1.06322
  -1.58316
  -0.11361
  -0.28168
   0.71456
   1.26546
   2.06178
   0.48385
  -4.17744
  -3.60708
  -3.83281
  -3.98493
  -1.76265
  -3.20320
  -4.85110
  -4.36785
  -4.98478
  -3.99903
  -3.25991
  -5.13855
  -5.74845
  -5.44077
  -4.49096
  -4.28807
  -3.31402
  -4.50289
  -4.24848
  -3.58893
  -4.71695
  -3.35943
  -2.70342
  -3.59067
Metropolis acceptance rate for gamma = 0.21900



MCMCoprobit iteration 1030001 of 1050000 
beta = 
   5.56829
  -0.36618
   2.51782
  -1.44097
   0.62443
  -0.06586
  -0.02496
  -2.33604
  -0.15488
   1.10611
  -1.13898
   1.10209
  -1.82969
  -1.34712
  -0.20704
   1.09847
   0.82597
  -1.84041
  -0.57413
   0.37335
  -0.60103
   0.90102
   1.38360
  -0.88636
  -4.39113
  -3.95904
  -4.00256
  -4.44966
  -2.12841
  -3.42520
  -5.30314
  -4.40789
  -5.15043
  -5.43092
  -4.08355
  -5.54878
  -5.89250
  -5.60559
  -4.94216
  -4.85742
  -4.08439
  -5.29367
  -4.42165
  -4.21466
  -4.86973
  -4.46375
  -3.03869
  -4.19636
Metropolis acceptance rate for gamma = 0.21898



MCMCoprobit iteration 1040001 of 1050000 
beta = 
   5.30854
   0.79331
   2.94513
  -0.71137
   1.20743
   0.79023
   0.45627
  -2.27902
   0.92270
   1.63269
  -0.49244
   2.41763
  -1.46840
  -0.84064
   0.59690
   1.44431
   0.81405
  -1.33617
   0.30699
  -0.37306
   0.28003
   0.98168
   2.59109
   0.66161
  -4.02116
  -3.16190
  -3.97425
  -4.11044
  -2.25626
  -2.96245
  -5.32770
  -4.46732
  -4.80798
  -4.61242
  -3.99239
  -5.21832
  -5.72035
  -5.27117
  -4.24280
  -4.20779
  -3.71195
  -5.16975
  -4.57948
  -3.88410
  -4.77433
  -3.44432
  -2.66611
  -3.70246
Metropolis acceptance rate for gamma = 0.21908



@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
The Metropolis acceptance rate for beta was 0.21913
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
> 
> 
> save(b3.M1.out, file="MM3.2.b3.M1.out.Rda")
> 
> proc.time()
    user   system  elapsed 
1155.008    5.502 1393.007 
